Bece Model Questions Vol1 2025 Mathematics Question 5

A secondary school is organising a field trip. The total amount allocated for the trip is ₦540,000. The cost per student consists of three components: transport, entry fee and meals. Transport costs are 40 % of the total cost per student, the entry fee is a fixed ₦1,500 per student and the remaining amount is spent on meals. The school wishes to take as many students as possible while ensuring that the total cost per student does not exceed ₦12,000. Furthermore, the school decides to give a 10 % discount on the entry fee for each student who brings a reusable water bottle. If 30 % of the students bring bottles, what is the new average cost per student? Answer the following: (a) Determine the maximum number of students that can attend the trip and the corresponding total cost per student. (b) Calculate the amount spent on transport, entry fee and meals per student for the situation in part (a). (c) Using the discount information, find the new average total cost per student.